Test the hypothesis that as education increases the number o

Test the hypothesis that as education increases the number of children one has decreases. Is there an association between education and the number of children? Interpret the following SPSS output in several sentences. Be precise.

Correlations

Highest Year of school completed

Pearson Correlation

Sig. (2-tailed)

N

1.000

.

1381

-.228*

.000

1380

Pearson Correlation

Sig. (2-tailed)

N

-.228**

.000

1380

1.000

.

1385

** Correlation is significant at the 0.01 level (2-tailed)

Solution

The hypothesis of testing are :-

From the above output, we can see that p-value = 0.000

Since p-value is less than alpha, we reject H0 and conclude that as education increases the number of children one has decreases.

From the above output, it can be seen that the correlation coefficient is -0.228. This means that there is a negative correlation between education and the number of children, i.e. as education increases the number of children one has decreases. Also the magnitude of correlation is small, hence the correlation is weak.